4. The 3 Act Task, Bucky the Badger is about a football game where the University of Wisconsin scored a total of 83 points. They scored 11 touchdowns (getting 7 points each time) and 2 field goals (each worth 3 points). a. What if the scores could have occurred in any order? What is the smallest number of pushups Bucky could have done? What is the largest? Why? b. What if the Badgers had scored a total of 84 points? If you were Bucky, would you have preferred all (3-point) field goals or all (7-point) touchdowns? (First guess!) You must justify your answer by showing your calculations. c. What if the Badgers scored n field goals in a game (and no other points), how many pushups would Bucky have done? Show your work.

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4. The 3 Act Task, Bucky the Badger e is about a football game where the
University of Wisconsin scored a total of 83 points. They scored 11
touchdowns (getting 7 points each time) and 2 field goals (each worth 3
points).
a. What if the scores could have occurred in any order? What is the smallest
number of pushups Bucky could have done? What is the largest? Why?
b. What if the Badgers had scored a total of 84 points? If you were Bucky,
would you have preferred all (3-point) field goals or all (7-point) touchdowns?
(First guess!) You must justify your answer by showing your calculations.
c. What if the Badgers scored n field goals in a game (and no other points),
how many pushups would Bucky have done? Show your work.
d. What if the Badgers scored n (7-point) touchdowns in a game (and no other
points), how many pushups would Bucky have done? Show your work.
Transcribed Image Text:4. The 3 Act Task, Bucky the Badger e is about a football game where the University of Wisconsin scored a total of 83 points. They scored 11 touchdowns (getting 7 points each time) and 2 field goals (each worth 3 points). a. What if the scores could have occurred in any order? What is the smallest number of pushups Bucky could have done? What is the largest? Why? b. What if the Badgers had scored a total of 84 points? If you were Bucky, would you have preferred all (3-point) field goals or all (7-point) touchdowns? (First guess!) You must justify your answer by showing your calculations. c. What if the Badgers scored n field goals in a game (and no other points), how many pushups would Bucky have done? Show your work. d. What if the Badgers scored n (7-point) touchdowns in a game (and no other points), how many pushups would Bucky have done? Show your work.
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